# How do you calculate the slope, x intercept, and y intercept of the following equation: x+y = 7?

Jul 24, 2015

Slope $= - 1$
x-intercept $= 7$
y-intercept $= 7$

#### Explanation:

For a linear equation in standard form: $A x + B y = C$
the slope can be calculated as $m = - \frac{A}{B}$

Since for $x + y = 7$
$\textcolor{w h i t e}{\text{XXXX}}$ $A = 1$$\textcolor{w h i t e}{\text{XXXX}}$and$\textcolor{w h i t e}{\text{XXXX}}$$B = 1$
the slope is $\left(- 1\right)$

The x-intercept is the value of $x$ when $y = 0$
and
the y-intercept is the value of $y$ when $x = 0$
$\Rightarrow$$\textcolor{w h i t e}{\text{XXXX}}$the x and y intercepts for the given equation are both $7$